标题： 设计具有随机分布的亚波长亥姆霍兹共振器的带隙 显示英文标题

标题： Designing Band Gaps with Randomly Distributed Sub-Wavelength Helmholtz Resonators

摘要： 众所周知，在频域中可以通过使用周期性超材料来实现带隙。然而，设计具有宽带隙或多个重叠带隙的材料一直颇具挑战。对于周期性材料而言，这一困难在于要在同一结构中周期性地重复许多不同的尺度以实现多个重叠带隙。在此，我们提出了一种替代方案：通过无序材料设计带隙。我们展示了如何通过选择任意组合的亥姆霍兹共振器（随机定位在宿主声学介质中）来定制带隙。一个关键结果是，我们能够得到适用于较宽频率范围的有效材料属性的简单公式，因此可以用于快速设计定制的超材料。我们通过与随机位置共振散射体的高保真蒙特卡洛模拟对比，证明了这些公式的稳健性。 显示英文摘要

摘要： It is well-known that band gaps, in the frequency domain, can be achieved by using periodic metamaterials. However it has been challenging to design materials with broad band gaps or that have multiple overlapping band gaps. For periodic materials this difficulty arises because many different length scales would have to be repeated periodically within the same structure to have multiple overlapping band gaps. Here we present an alternative: to design band gaps with disordered materials. We show how to tailor band gaps by choosing any combination of Helmholtz resonators that are positioned randomly within a host acoustic medium. One key result is that we are able to reach simple formulae for the effective material properties, which work over a broad frequency range, and can therefore be used to rapidly design tailored metamaterials. We show that these formulae are robust by comparing them with high-fidelity Monte Carlo simulations over randomly positioned resonant scatterers.